Question

Find the exact solution of the following quadratic equation by using the Quadratic Formula. x^2-7x= 60

a.
{–12, 5}
c.
{–10, 24}
b.
{–5, 12}
d.
{60, 67}

Answer 1

B. {-5, 12}

Explanation:

the quadratic equation is given by the formula

x = -b± √b² - 4ac

2a

where a is the coefficient of x², b is the coefficient of x, and c is the constant

in the equation; x² - 7x -60 = 0

a = 1, b = -7, c = -60

x = -(-7)± √(-7)² - 4*1*-60 (negative sign multiplied by negative sign will

2*1 a positive sign)

x = 7 ± √49 + 240

2

x = 7 ± √289

2

x = 7 ± 17

2

x= 7 + 17 or 7 - 17

2 2

x = 24/2 or -10/2

x = 12 or -5